Analysis of the Base of a Solid I-beam Column
Design models of the column base (figures in the circles indicate the numbers of the design sections of the base plate: 1 – wing plate; 2 – base plate)
Objective: Check the mode for calculating base plates
Task: Check the load-bearing capacity of the base plate for the design section No.3.
Source: Steel Structures: Student Handbook / [Kudishin U.I., Belenya E.I., Ignatieva V.S and others] - 13-th ed. rev. - M.: Publishing Center "Academy", 2011. p. 259.
Compliance with the codes: SNiP II-23-81*, SP 16.13330, DBN B.2.6-163:2010.
Initial data file:
6.3.sav; report — Kristall-6.3.doc
Initial data:
σf = 1,19 kN/cm2 = 11,9 MPa | Stress under the base plate |
Ry = 30 kN/cm2 | Steel grade C345 |
b/a = 480 mm / 82 mm | Dimensions of the design section of the base |
KRISTALL parameters:
Steel: C345 category 1
Group of structures according to the table 50* of SNiP II-23-81* 3
Importance factor 1
Service factor 1,15
a = 0.082 m |
Manual calculation (SNiP II-23-81*):
1. Design bending moment acting in the design section of the base plate:
\[ M=0,5\sigma_{f} c^{2}=0,5\cdot 1,19\cdot 8,2^{2}=40,0078 \quad kN/cm. \]
2. Check the bending strength of the base plate (γс = 1,15 – according to the table 6* of SNiP II-23-81*):
\[\frac{6M}{t_{p}^{2} }=\frac{6\cdot 40,0078}{4^{2}}=15,002925 \quad kN/cm^{2} \quad \quad < R_{y} \gamma_{c} =30\cdot 1,15=34,5 \quad kN/cm^{2}. \]
Comparison of solutions:
Factor |
Source |
Manual calculation |
KRISTALL |
Deviation from the manual calculation, % |
---|---|---|---|---|
for bending strength of the plate |
40/81,45=0,491 |
15,0029/34,5 = 0,43487 |
0,435 |
0,0 |
Comments:
The service factor of the base plate according to the table 6* of SNiP II-23-81* is not taken into account in the source.